Pseudomodular surfaces

  title={Pseudomodular surfaces},
  author={Darren D. Long and Alan W. Reid},
A Fuchsian group is a discrete subgroup of PSL(2,R). As such it acts discontinuously on H (the upper half plane model of the hyperbolic plane) by fractional linear transformations. This action induces an action on the real line. It is well known that if an isometry of H fixes a point of the real line then the point is one of a pair, in the case that the isometry is hyperbolic or the isometry in question is parabolic and the point in question is unique. Points fixed by parabolic elements of a… CONTINUE READING

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